Solve (200)div(200+12.5^2)*170

$$(200) \div (200+ { 12.5 }^{ 2 } ) \times 170$$

Evaluate

$$\frac{5440}{57}\approx 95.438596491$$

Solution Steps

Calculate 12.5 to the power of 2 and get 156.25.

$$\frac{200}{200+156.25}\times 170$$

Add 200 and 156.25 to get 356.25.

$$\frac{200}{356.25}\times 170$$

Expand \frac{200}{356.25} by multiplying both numerator and the denominator by 100.

$$\frac{20000}{35625}\times 170$$

Reduce the fraction \frac{20000}{35625} to lowest terms by extracting and canceling out 625.

$$\frac{32}{57}\times 170$$

Express \frac{32}{57}\times 170 as a single fraction.

$$\frac{32\times 170}{57}$$

Multiply 32 and 170 to get 5440.

$$\frac{5440}{57}$$

Factor

$$\frac{5 \cdot 17 \cdot 2 ^ {6}}{3 \cdot 19} = 95\frac{25}{57} = 95.43859649122807$$